Book of Curves E H Lockwood 9780511569340 Books
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This book opens up an important field of mathematics at an elementary level, one in which the element of aesthetic pleasure, both in the shapes of the curves and in their mathematical relationships, is dominant. This book describes methods of drawing plane curves, beginning with conic sections (parabola, ellipse and hyperbola), and going on to cycloidal curves, spirals, glissettes, pedal curves, strophoids and so on. In general, 'envelope methods' are used. There are twenty-five full-page plates and over ninety smaller diagrams in the text. The book can be used in schools, but will also be a reference for draughtsmen and mechanical engineers. As a text on advanced plane geometry it should appeal to pure mathematicians with an interest in geometry, and to students for whom Euclidean geometry is not a principal study.
Book of Curves E H Lockwood 9780511569340 Books
Ye gods, what a blast from the past.I ran into this book when I was 13 years old. It changed my life.
It told me enough to draft these beautiful things, before I'd been through the first semester of high school algebra. It certainly lit a fire in my mind. By the time I did take that course, during my freshman year, I was motivated to the point where I tore through the first year's material in about a month and a half. And kept right on going.
I think I can honestly say it was probably the most personally influential book I've ever read. I doubt I'd have done my graduate work in mathematics, had I not chanced across this book a dozen years prior.
It's not something that would appeal to most adults. But if you want to put a stepladder to mathematics in front of a kid, and give them a very good personal reason to use it, I cannot think of a better tool.
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Tags : Buy Book of Curves on Amazon.com ✓ FREE SHIPPING on qualified orders,E. H. Lockwood,Book of Curves,Cambridge University Press,0511569343,Geometry,MATHEMATICS Topology
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Book of Curves E H Lockwood 9780511569340 Books Reviews
The author does know what he is talking about, but he presents the material in such an uninteresting fashion that I actually fell asleep while reading it! It also may be too difficult for people that are not "mathematically inclined." He should have left out some details and instead put in some more stories and colorful language so that the reader will not feel like it is fourth period calculus with that monotone teacher. It is good for learning the material, but it is very difficult just to read for any reason.
I have used this book in my C++ class to create C++ programming assignments in graphics mode. For example, I have asked my students to draw a base circle on the screen. Then draw a set of circles each one with a center on the base circle and tangent to a fixed diameter of the base circle. The result is a BEAUTIFUL design whose outline is a famous curve--a nephroid. This assignment would be impossible without this book. This book has descriptions of several ways to draw scores of interesting and curious curves. It is a classic for anyone who will work hard to understand the math and wants to graphically construct symmetric designs. I have two copies and am looking for more to give as gifts to my talented students.
Ye gods, what a blast from the past.
I ran into this book when I was 13 years old. It changed my life.
It told me enough to draft these beautiful things, before I'd been through the first semester of high school algebra. It certainly lit a fire in my mind. By the time I did take that course, during my freshman year, I was motivated to the point where I tore through the first year's material in about a month and a half. And kept right on going.
I think I can honestly say it was probably the most personally influential book I've ever read. I doubt I'd have done my graduate work in mathematics, had I not chanced across this book a dozen years prior.
It's not something that would appeal to most adults. But if you want to put a stepladder to mathematics in front of a kid, and give them a very good personal reason to use it, I cannot think of a better tool.
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